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数字信号处理英文课件Chapter7.pdf

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Chapter7:AFrameworkforDigitalFilterDesign CHAPTER7AFRAMEWORKFORDIGITAL1Introduction FILTERDESIGN•Provideacommonframeworkfordigitalfilterdesign. •Describeasimplestepbystepguidefordesigningdigitalfilters. •AdvantagesofDF’soveranalogfilters: •Thischaptercoversthefollowing. 1.LinearphasecanbeachievedusingFIRfilters. 1.Introduction.............................................................................2 2.Performancedoesn’tvarywithenvironmentalconditions. 2.Digitalfilters(DF’s):FIRandIIRfilters................................4 3.Frequencyresponsecanbeautomaticallyadjustedusinga 3.ChoosingbetweenFIRandIIRfilters...................................13programmableprocessor,whichisusefulinadaptivefiltering. 4.Filterdesignsteps..................................................................154.Theprecisionislimitedonlybythewordlengthused. 5.Suggestedreadings................................................................235.Theperformanceisrepeatablefromunittounit. 6.Problems................................................................................246.Canbeusedatverylowfrequencies(biomedicalapplications). A.Bouzerdoum Page2of25 Chapter7:AFrameworkforDigitalFilterDesignChapter7:AFrameworkforDigitalFilterDesign •Disadvantagesofdigitalfilters:2DigitalFilters:FIRandIIRFilters 1.SpeedLimitation.TheADCprocessintroducesaspeed constraintonDFperformance.•DifferenceEquation M 2.FiniteWordLength.Performanceisaffectedbyroundoffand()N()() yn=–∑akyn–k+∑bkxn–k(1.1) quantizationnoise.k=1k=0 3.LongDesignandDevelopmenttimescomparedtoanalog •Convolution filters. ∞ •WhatisadigitalFilter?yn()=∑hk()xn()–k(1.2) k=–∞ Yz()=Hz()Xz()(1.3) DigitalSignalDigitalDigitalSignal ()() xnynb+++bz–1…bz–M FilterHz()=-----------------------------------------------------------01M(1.4) –1…–N 1+++a1zaNz FIGURE1.1AconceptualrepresentationofaDF. A.BouzerdoumA.Bouzerdoum Page3of25Page4of25 Chapter7:AFrameworkforDigitalFilterDesignChapter7:AFrameworkforDigitalFilterDesign 2.1FrequencyResponseHj()ω=[]1–